Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
498 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 145 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. C2×C32×M16 | C4 | semidirect |
| 6. C22×C32×C8 | C4 | semidirect |
| 10. #63661 | C4 | semidirect |
| 29. C2×C3×M16 | Dic3 | semidirect |
| 30. C22×C3×C8 | Dic3 | semidirect |
| 77. C2×M16 | C3⋊Dic3 | semidirect |
| 78. C22×C8 | C3⋊Dic3 | semidirect |
| 126. C32 | #1391 | semidirect |
| 156. C3 | #67691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#408 | 2 |
| #10592939 | 2 |
| #67691 | 3 |